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Finding the Fourth Proportional to 11,975.86, 16,536.38 and 7,729.02

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Solution

The fourth proportional to 11,975.86, 16,536.38 and 7,729.02 is: 10,672.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,975.86 : 16,536.38 = 7,729.02 : x
  2. Step 2: Convert to fraction form
    11,975.86/16,536.38 = 7,729.02/x
  3. Step 3: Cross multiply
    11,975.86x = 16,536.38 × 7,729.02
  4. Step 4: Simplify right side
    11,975.86x = 127,810,011.75
  5. Step 5: Solve for x
    x = 127,810,011.75/11,975.86
  6. Step 6: Final answer
    x = 10,672.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.